Questions: x^2-2(x-y)-z^3 if x=2, y=-2 and z=-3

Transcript text: $x^{2}-2(x-y)-z^{3} \quad \text { if } x=2, y=-2 \text { and } z=-3$

Solution

Solution Steps

To solve the given expression $x^2 - 2(x-y) - z^3$ with the values $x=2$, $y=-2$, and $z=-3$, we will substitute these values into the expression and evaluate it using Python.

Step 1: Substitute Given Values into the Expression

We start with the expression $x^2 - 2(x-y) - z^3$. Given the values $x = 2$, $y = -2$, and $z = -3$, we substitute these into the expression:

\[ 2^2 - 2(2 - (-2)) - (-3)^3 \]

Step 2: Simplify the Expression

First, calculate each part of the expression:

$2^2 = 4$
$2 - (-2) = 2 + 2 = 4$
$-3^3 = -27$

Substitute these results back into the expression:

\[ 4 - 2 \times 4 - (-27) \]

Step 3: Perform Arithmetic Operations

Now, perform the arithmetic operations:

$2 \times 4 = 8$
$4 - 8 = -4$
$-4 - (-27) = -4 + 27 = 23$

Final Answer

The value of the expression is $\boxed{23}$.

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